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Finding the Third Proportional to 9,504.21 and 13,895.19

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Solution

The third proportional to 9,504.21 and 13,895.19 is: 20,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.21 : 13,895.19 = 13,895.19 : x
  2. Step 2: Convert to fraction form
    9,504.21/13,895.19 = 13,895.19/x
  3. Step 3: Cross multiply
    9,504.21x = 13,895.19 × 13,895.19
  4. Step 4: Simplify right side
    9,504.21x = 193,076,344.22
  5. Step 5: Solve for x
    x = 193,076,344.22/9,504.21
  6. Step 6: Final answer
    x = 20,314.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.